CAT 2025 Slot 1 QA Question 16: Stocks A, B and C are priced at rupees 120, 90 and 150 per share, respectively. A trader holds a portfolio consisting of 10 shares of stock A, and 20 shares of stocks B and C put together. If the tot

Question

Stocks A, B and C are priced at rupees 120, 90 and 150 per share, respectively. A trader holds a portfolio consisting of 10 shares of stock A, and 20 shares of stocks B and C put together. If the tot

Accepted Answer

Let the number of shares of stock B be $x$. Then the number of shares of stock C is $20 - x$.
Value of stock A = $10 	imes 120 = 1200$
Value of stocks B and C = $3300 - 1200 = 2100$

$90x + 150(20 - x) = 2100$
$90x + 3000 - 150x = 2100$
$60x = 900$
$x = 15$

Answer: 15

Stocks A, B and C are priced at rupees 120, 90 and 150 per share, respectively. A trader holds a portfolio consisting of 10 shares of stock A, and 20 shares of stocks B and C put together. If the total value of her portfolio is rupees 3300, then the number of shares of stock B that she holds, is